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Finding the Third Proportional to 82,281 and 124,437

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Solution

The third proportional to 82,281 and 124,437 is: 188,191.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,281 : 124,437 = 124,437 : x
  2. Step 2: Convert to fraction form
    82,281/124,437 = 124,437/x
  3. Step 3: Cross multiply
    82,281x = 124,437 × 124,437
  4. Step 4: Simplify right side
    82,281x = 15,484,566,969
  5. Step 5: Solve for x
    x = 15,484,566,969/82,281
  6. Step 6: Final answer
    x = 188,191.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.